Miraculous World of Numbers is an eBook on Mathematical Fun. It has so many creative ideas to develop the skills & to increase the Thinking power. Along with this eBook I would like to encourage Students & Parents how they can participate to build the entire world with powerful thinking level. My Blogs will definitely encourage students & parents in this direction.

Monday, September 2, 2013

72-Magic Square - Different cell elements and addition

Addition of different cell elements of Magic Squares:

We have seen the addition of the elements in rows columns, and diagonals are the same in all the cases. Each row or column or diagonal contains 4 elements. Now we see the elements in different cases or places will also show the addition as 34.

The following diagram gives us the details of all possible 4 places or cells which we are considering as our elements.

(1 + 15 + 12 + 6)(14 + 4 + 7 + 9)

(R1C1, R1C2, R2C1, R2C2) (R1C3, R1C4, R2C3, R2C4)

Here Sum of all these numbers is 34 (1 + 15 + 12 + 6). In the same way, we can observe the same sum for all other diagrams.

Now we will see the remaining groups of different places of cells taken in to account to get the sum as 34

(11 + 5 + 2 + 16) (8 + 10 + 13 + 3)

(R3C3, R3C4, R4C3, R4C4) (R3C1, R3C2, R4C1, R4C2)

(15 + 14 + 3 + 2) (8 + 12 + 9 + 5)

(R1C2, R1C3, R4C2, R4C3) (R2C1, R3C1, R2C4, R3C4)

(15 + 12 + 5 + 2) (14 + 9 + 8 + 3)

(R1C2, R2C1, R3C4, R4C3) (R1C3, R2C4, R3C1, R4C2)

(6 + 7 + 10 + 11) (1 + 4 + 13 + 16)

(R2C2, R2C3, R3C2, R3C3) (R1C1, R1C4, R4C1, R4C4)

(1 + 7 + 10 + 16) (4 + 6 + 11 + 13)

(R1C1, R2C3, R3C2, R4C4) (R1C4, R2C2, R3C3, R4C1)

(6 + 9 + 3 + 16) (15 + 4 + 10 + 5)

(R2C2, R2C4, R4C2, R4C4) (R1C2, R1C4, R3C2, R3C3)

(12 + 7 + 13 + 2) (1 + 14 + 8 + 11)

(R2C1, R2C3, R4C1, R4C3) (R1C1, R1C3, R3C1, R3C3)

Like this, you can also find so many relations between the numbers reflected in cells and their addition.

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About Me

1) Published "Satpute's Differential Equation" and "Satpute's square formula" in the 45th conference of IMS in December 1979.

2) "Satpute's Differential Equation" was acknowledged for group discussion in 15th International Congress of Theoretical and Applied Mechanics at Toronto (August 1980)

3) "Miraculous World of Numbers", an e-Book will be published soon.

4) I would like to encourage Students & Parents to participate to build the entire world with powerful thinking level. My Blogs on mathematics will definitely encourage students & parents in this direction.

5) I Presented my research paper entitled "New Concept of Learning Mathematics" in "20th International Conference on Interactive Collaborative Learning and 46th IGIP International Conference on Engineering Pedagogy" (ICL2017) which was held at Budapest, Hungary on 28th September 2017 and the paper is published in Springer (International Journal). Click on the following link.